Question

If the cubic x³ - px + q has three distinct real roots, where p > 0 and q > 0.Then, which one of the following holds?

(a) The cubic has maxima at both √(p/3) and -√(p/3)

(b) The cubic has minima at √(p/3) and maxima at -√(p/3)

(c) The cubic has minima at -√(p/3) and maxima at √(p/3)

(d) The cubic has minima at both √(p/3) and -√(p/3)

Answer 1

Correct Option (b) The cubic has minima at √(p/3) and maxima at -√(p/3)

Explanation: